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Finding the Fourth Proportional to 25,006.64, 37,524.77 and 9,222.71

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Solution

The fourth proportional to 25,006.64, 37,524.77 and 9,222.71 is: 13,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,006.64 : 37,524.77 = 9,222.71 : x
  2. Step 2: Convert to fraction form
    25,006.64/37,524.77 = 9,222.71/x
  3. Step 3: Cross multiply
    25,006.64x = 37,524.77 × 9,222.71
  4. Step 4: Simplify right side
    25,006.64x = 346,080,025.41
  5. Step 5: Solve for x
    x = 346,080,025.41/25,006.64
  6. Step 6: Final answer
    x = 13,839.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.